If you happen to use gluetun (great project btw) you can use the environment property VPN_PORT_FORWARDING=on and a volume mapping to /tmp/gluetun/forwarded_port to obtain the port number from the container. Then with the bittorrent-port-forward-file container (Link) you can automatically set the port from the file to qbittorrent.
I use this with ProtonVPN and it works like a charm.

Here the relevant parts of my docker compose file:

  gluetun:
    image: qmcgaw/gluetun
    <...>
    volumes:
      <...>
      - ./port-forwarding/forwarded_port:/tmp/gluetun/forwarded_port:rw
    environment:
      # See https://github.com/qdm12/gluetun/wiki
      <...>
      - VPN_PORT_FORWARDING=on
      - VPN_PORT_FORWARDING_PROVIDER=protonvpn

  qbittorrent-port-forward-file:
    platform: linux/amd64 #needed for raspi
    image: charlocharlie/qbittorrent-port-forward-file                           
    container_name: port-forward-file                                            
    depends_on:
      - qbittorrent
      - gluetun
    restart: unless-stopped
    volumes:
      - ./port-forwarding:/config:ro
    environment:
      - QBT_USERNAME=
      - QBT_PASSWORD=
      - QBT_ADDR=gluetun:9092
      - PORT_FILE=/config/forwarded_port

The file containing the port number sits at ./port-forwarding/forwarded_port on the host (you may need to create the empty file before first usage).

See gluetun wiki here: Link

This has been on my list of things to do for some time. I took a look at the API calls once and it seems they purposefully obfuscate doing a manual call.